How to find the area of a square

Practice Questions

ISEE Upper Level Mathematics Achievement › How to find the area of a square

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1

A square is made into a rectangle by increasing the width by 20% and decreasing the length by 20%. By what percentage has the area of the square changed?

2

Which of the following is equal to the area of a square with sidelength yards?

3

Find the area of a square with a base of 9cm.

4

One of the sides of a square on the coordinate plane has its endpoint at the points with coordinates and , where and are both positive. Give the area of the square in terms of and .

5

One of the sides of a square on the coordinate plane has its endpoints at the points with coordinates and . What is the area of this square?

6

A rectangle and a square have the same perimeter. The rectangle has length centimeters and width centimeters. Give the area of the square.

7

What is the area of the square with a side length of ?

8

One of your holiday gifts is wrapped in a cube-shaped box.

If one of the edges has a length of 6 inches, what is the area of one side of the box?

9

What is the area of a square in which the length of one side is equal to ?

10

Inscribed circle

In the above diagram, the circle is inscribed inside the square. The circle has area 30. What is the area of the square?

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